well not sure about cocos2d but if you use libgdx you can code your game with java and in eclipse and publish to a browser game. It gives you all the features you want(not sure about internetexplorer). You should give it a try its really easy to use and setup. And as an upside you can actually run the game on a pc(win, mac, linux) in a browser and on phones.

Sublime Text 2 is a very nice cross platform IDE. If you are coming over from Visual Studio, then I think you'll like it.

Google Closure Compiler is your best option for compilation/minification of your scripts. There is also a command line version of the compiler on the Closure Tools home page.

Firefox and Chrome push out updates very often, so to make sure you're ahead of the game ...

Get the dev channel version of Firefox and the dev channel version of Chrome. Why? You can catch bugs and report them for Chrome here and for Firefox here ... and they may get fixed before that version in the release channel gets deployed to the masses (the dev channel browsers are a couple versions ahead). You can also use new features/API not yet available in the release channel.

You need Firebug for Firefox.

Chrome comes with built in debugging tools, just press F12.

Basically - an IDE isn't enough.

Internet Explorer is going to be a big issue ... most developers are innovating in Firefox and Chrome. The more that happens the more Internet Explorer gets phased out when it comes to advanced in-browser apps and games.

JSLint can also help you find error and mistakes, although it's quite harsh.

I use sublime text 2, it has great code complete and zen coding which is nice for html.

there are tools to test in multiple browsers like

https://browserlab.adobe.com/en-us/index.html#

I have to admit I haven't used any i just have chrome and ie open all the time while I've working,

I trend to get stuff running in chrome and work backwards to get IE running.